Synthesis of dual program control for a multidimensional dynamical system
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 117-123

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In this paper, we consider the problem of synthesis of dual program control for a multidimensional dynamic system and propose various quality indicators for dual program control. Based on the Rayleigh–Ritz method, we synthesize a control law for the spatial position of the block of sensitive elements of an inertial navigation system.
Keywords: multidimensional dynamical system, dual program control, control law, quality indicator, system of stochastic differential equations.
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I. P. Shepet; D. B. Litvin. Synthesis of dual program control for a multidimensional dynamical system. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 117-123. http://geodesic.mathdoc.fr/item/INTO_2019_167_a10/